![]() ![]() With this interactive 3-D shape explorer, you can visualize and rotate the following solids: cube, cuboid (a.k.a rectangular prism), tetrahedron, square pyramid, octahedron, triangular prism, and cylinder. Interactive 3-Dimensional Shapes (Solids) Problem solving: find the volume or surface area when either surface area or volume and some dimensions are given (for 8th/9th grade as you will need to solve an equation) Here are some more worksheets about volume and surface area (in html format).įind the volume of a prism when its dimensions are given or edge length of a cube when its volume is given (grade 5 easy)įind the volume or surface area of rectangular prisms (includes decimal numbers grades 5-6)įind the volume of a rectangular prism with fractional edge lengths (halves, thirds, and fourths the whole number part is max 5 grade 6) Html format: simply refresh the worksheet page in your browser window.įind the volume or surface area of rectangular prisms (grade 5)įind the volume of a rectangular prism with fractional edge lengths, using fraction unit cubes (grade 6 halves, thirds, and fourths the whole number part is max 3)įind the volume of a rectangular prism with fractional edge lengths.PDF format: come back to this page and push the button again.Just try again! To get a different worksheet using the same options: Sometimes the generated worksheet is not exactly what you want. This has the advantage that you can save the worksheet directly from your browser (choose File → Save) and then edit it in Word or other word processing program. To get the worksheet in html format, push the button " View in browser" or " Make html worksheet". To get the PDF worksheet, simply push the button titled " Create PDF" or " Make PDF worksheet". You can generate the worksheets either in html or PDF format - both are easy to print. The answer key is automatically generated and is placed on the second page of the file. These types of problems are meant for 7th-9th grade as they are more challenging and may require the use of an equation.Įach worksheet is randomly generated and thus unique. In this particular case, we're using the law of sines.You can also make problems where the volume or surface area is given along with some dimensions, and the students need to calculate either the volume or the surface area of the prism. Here's the formula for the triangle area that we need to use:Īrea = a² × sin(Angle β) × sin(Angle γ) / (2 × sin(Angle β + Angle γ)) We're diving even deeper into math's secrets! □ In this particular case, our triangular prism area calculator uses the following formula combined with the law of cosines:Īrea = Length × (a + b + √( b² + a² - (2 × b × a × cos(Angle γ)))) + a × b × sin(Angle γ) ▲ 2 angles + side between You can calculate the area of such a triangle using the trigonometry formula: Now it's the time when things get complicated. We used the same equations as in the previous example:Īrea = Length × (a + b + c) + (2 × Base area)Īrea = Length × Base perimeter + (2 × Base area) ▲ 2 sides + angle between Where a, b, c are the sides of a triangular base This can be calculated using the Heron's formula:īase area = 0.25 × √, We're giving you over 15 units to choose from! Remember to always choose the unit given in the query and don't be afraid to mix them our calculator allows that as well!Īs in the previous example, we first need to know the base area. Choose the ▲ 2 angles + side between optionĢ.If you're given 2 angles and only one side between them If they give you two sides and an angle between them Input all three sides wherever you want (a, b, c).If they gave you all three sides of a triangle – you're the lucky one! You can input any two given sides of the triangle – be careful and check which ones of them touch the right angle (a, b) and which one doesn't (c).You need to pick the ◣ right triangle option (this option serves as the surface area of a right triangular prism calculator).If only two sides of a triangle are given, it usually means that your triangular face is a right triangle (a triangle that has a right angle = 90° between two of its sides). Find all the information regarding the triangular face that is present in your query: ![]()
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